A mass m oscillates on a spring with spring constant k. The amplitude is d. At the moment (let this be t=0) when the mass is at position x=d/2 (and moving to the right), it collides and sticks to another mass m. The speed of the resulting mass 2m right after the collision is half the speed of the moving mass m right before the collision (from momentum conservation, discussed in Chapter 5). What is the resulting x(t)? What is the amplitude of the new oscillation?